4115073400 has 96 divisors (see below), whose sum is σ = 9859860000. Its totient is φ = 1596049920.

The previous prime is 4115073353. The next prime is 4115073433. The reversal of 4115073400 is 43705114.

4115073400 = T₁₃₇ + T₁₃₈ + ... + T₂₉₁₁.

4115073400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2655826 + ... + 2657374.

It is an arithmetic number, because the mean of its divisors is an integer number (102706875).

Almost surely, 2^4115073400 is an apocalyptic number.

4115073400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4115073400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4929930000).

4115073400 is an abundant number, since it is smaller than the sum of its proper divisors (5744786600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4115073400 is a wasteful number, since it uses less digits than its factorization.

4115073400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1961 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 4115073400 is about 64148.8378694423. The cubic root of 4115073400 is about 1602.4796706606.

Adding to 4115073400 its reverse (43705114), we get a palindrome (4158778514).

The spelling of 4115073400 in words is "four billion, one hundred fifteen million, seventy-three thousand, four hundred".